Spectral properties of the Schrödinger operator with operator-valued potential

Let $H$ be a separable Hilbert space, and let $\mathcal{H} := L_2(\mathbb{R}, H)$. In the space $\mathcal{H}$, we consider the self-adjoint Schrödinger operator of the form $ T_q f = -f'' + qf, $ where $q$ is a reflectionless operator-valued potential. Let $\mathcal{P}_+$ and $\mathcal{P}_...

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Bibliographic Details

Published in:	Математичні Студії
Main Authors:	Ya. V. Mykytyuk, N. S. Sushchyk
Format:	Article
Language:	German
Published:	Ivan Franko National University of Lviv 2025-09-01
Subjects:	schr¨odinger operator reflectionless potentials operator riccati equation
Online Access:	http://matstud.org.ua/ojs/index.php/matstud/article/view/651